Anisotropic Landau-Lifshitz sigma models from q-deformed AdS_5 x S^5 superstrings

Abstract

We consider bosonic subsectors of the q-deformed AdS_5 x S^5 superstring action and study the classical integrable structure of anisotropic Landau-Lifshitz sigma models (LLSMs) derived by taking fast-moving limits. The subsectors are 1) deformed AdS_3 x S^1 and 2) R x deformed S^3. The cases 1) and 2) lead to a time-like warped SL(2) LLSM and a squashed S^3 LLSM, respectively. For each of them, we construct an infinite number of non-local conserved charges and show a quantum affine algebra at the classical level. Furthermore, a pp-wave like limit is applied for the case 1). The resulting system is a null-like warped SL(2) LLSM and exhibits a couple of Yangians through non-local gauge transformations associated with Jordanian twists.

arXiv comment38 pages, 1 figure, typos corrected, minor comments and references added

References in corpus (54)

• The Large N Limit of Superconformal Field Theories and Supergravity
• Review of AdS/CFT Integrability: An Overview
• Type IIB superstring action in AdS_5 x S^5 background
• Deforming field theories with $U(1)\times U(1)$ global symmetry and their gravity duals
• On integrability of the Yang-Baxter $\si$-model
• Large N Limit of Non-Commutative Gauge Theories
• An integrable deformation of the AdS_5 x S^5 superstring action
• Lax Pair for Strings in Lunin-Maldacena Background
• Yang-Baxter $\sigma$-models and dS/AdS T-duality
• Spin chains and string theory
• On classical q-deformations of integrable sigma-models
• Non-Commutative Yang-Mills and the AdS/CFT Correspondence
• Large spin limit of AdS_5 x S^5 string theory and low energy expansion of ferromagnetic spin chains
• S-matrix for strings on $\eta$-deformed AdS5 x S5
• Jordanian deformations of the AdS_5xS^5 superstring
• Integrability of the bi-Yang-Baxter sigma-model
• Semiclassical relativistic strings in S^5 and long coherent operators in N=4 SYM theory
• Large spin limits of AdS/CFT and generalized Landau-Lifshitz equations
• The SU(3) spin chain sigma model and string theory
• Strings on Semisymmetric Superspaces
• Extended jordanian twists for Lie algebras
• Integrability of classical strings dual for noncommutative gauge theories
• A Jordanian deformation of AdS space in type IIB supergravity
• Hybrid classical integrability in squashed sigma models
• q-Deformation of the AdS5 x S5 Superstring S-matrix and its Relativistic Limit
• Yangian symmetry in deformed WZNW models on squashed spheres
• SL(2) spin chain and spinning strings on AdS_5xS^5
• The classical origin of quantum affine algebra in squashed sigma models
• Coset Construction for Duals of Non-relativistic CFTs
• The Quantum Deformed Mirror TBA I
• Hidden Yangian symmetry in sigma model on squashed sphere
• On the classical equivalence of monodromy matrices in squashed sigma model
• Spin chain sigma models with fermions
• Schrodinger Sigma Models and Jordanian Twists
• The Quantum Deformed Mirror TBA II
• A deformation of quantum affine algebra in squashed WZNW models
• New rational solutions of Yang-Baxter equation and deformed Yangians
• Classical integrability of Schrodinger sigma models and q-deformed Poincare symmetry
• 1/J^2 corrections to BMN energies from the quantum long range Landau-Lifshitz model
• Restoring Unitarity in the q-Deformed World-Sheet S-Matrix
• Hybrid classical integrable structure of squashed sigma models -- a short summary
• Exotic symmetry and monodromy equivalence in Schrodinger sigma models
• On the integrability of two-dimensional models with U(1)xSU(N) symmetry
• Yang-Baxter sigma models: Quantum aspects
• Bound States of the q-Deformed AdS5 x S5 Superstring S-matrix
• Asymptotic Bethe Ansatz S-matrix and Landau-Lifshitz type effective 2-d actions
• A two-dimensional integrable axionic sigma-model and T-duality
• Landau-Lifshitz sigma-models, fermions and the AdS/CFT correspondence
• String theories on warped AdS backgrounds and integrable deformations of spin chains
• Melvin Twists of global AdS_5 \times S_5 and their Non-Commutative Field Theory Dual
• Integrable Superstrings on the Squashed Three-sphere
• Integrable Deformations of the XXZ Spin Chain
• On quantum integrability of the Landau-Lifshitz model
• On S-Matrix factorization of the Landau-Lifshitz model

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• Field theory generalizations of two-body Calogero-Moser models in the form of Landau-Lifshitz equations
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• D-brane on Deformed AdS_3 times S^3
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• Holographic Cusped Wilson loops in $q$-deformed $Ad{S}_5\times S^5$ Spacetime
• Three-parameter deformation of $\mathbb{R}\times S^3$ in the Landau-Lifshitz limit
• Generalized quark-antiquark potentials from a $q$-deformed AdS${}_5\times$S${}^5$ background
• Spin chains and classical strings in two parameters $q$-deformed AdS${}_3\times$S${}^3$
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• An integrable deformed Landau-Lifshitz model with particle production?